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Finding the Fourth Proportional to 338,862.69, 507,963.42 and 161,322.03

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Solution

The fourth proportional to 338,862.69, 507,963.42 and 161,322.03 is: 241,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,862.69 : 507,963.42 = 161,322.03 : x
  2. Step 2: Convert to fraction form
    338,862.69/507,963.42 = 161,322.03/x
  3. Step 3: Cross multiply
    338,862.69x = 507,963.42 × 161,322.03
  4. Step 4: Simplify right side
    338,862.69x = 81,945,690,080.14
  5. Step 5: Solve for x
    x = 81,945,690,080.14/338,862.69
  6. Step 6: Final answer
    x = 241,825.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.